# Prime factorization of 252

Here you will see step by step solution of prime factorization of 252, how to find factors of 252, you will see all factors of 252, how many factors of 252 has? Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, we can see that 252 has 18 factor and sum of all factors is 728.

• All Factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
• Prime Factors of 252: 2 × 2 × 3 × 3 × 7
• Prime Factorization of 252: 22 × 32 × 71
• Sum of Factors of 252: 728
• Is 252 prime number: No

### How to find factors of 252 by Division Method?

To find the factors of 252 by division method, we need the find the all numbers between 1 to 252, which divide 252 with 0 remainder, then the number is factor of 252.

### Pair factors of 252

• 252/1 = 252 [ 1 × 252 (1, 252) 1 and 252 is pair factor of 252]
• 252/2 = 126 [ 2 × 126 (2, 126) 2 and 126 is pair factor of 252]
• 252/3 = 84 [ 3 × 84 (3, 84) 3 and 84 is pair factor of 252]
• 252/4 = 63 [ 4 × 63 (4, 63) 4 and 63 is pair factor of 252]
• 252/6 = 42 [ 6 × 42 (6, 42) 6 and 42 is pair factor of 252]
• 252/7 = 36 [ 7 × 36 (7, 36) 7 and 36 is pair factor of 252]
• 252/9 = 28 [ 9 × 28 (9, 28) 9 and 28 is pair factor of 252]
• 252/12 = 21 [ 12 × 21 (12, 21) 12 and 21 is pair factor of 252]
• 252/14 = 18 [ 14 × 18 (14, 18) 14 and 18 is pair factor of 252]
• 252/18 = 14 [ 18 × 14 (18, 14) 18 and 14 is pair factor of 252]
• 252/21 = 12 [ 21 × 12 (21, 12) 21 and 12 is pair factor of 252]
• 252/28 = 9 [ 28 × 9 (28, 9) 28 and 9 is pair factor of 252]
• 252/36 = 7 [ 36 × 7 (36, 7) 36 and 7 is pair factor of 252]
• 252/42 = 6 [ 42 × 6 (42, 6) 42 and 6 is pair factor of 252]
• 252/63 = 4 [ 63 × 4 (63, 4) 63 and 4 is pair factor of 252]
• 252/84 = 3 [ 84 × 3 (84, 3) 84 and 3 is pair factor of 252]
• 252/126 = 2 [ 126 × 2 (126, 2) 126 and 2 is pair factor of 252]
• 252/252 = 1 [ 252 × 1 (252, 1) 252 and 1 is pair factor of 252]

As we checked numbers between 1 to 252 that are not leaving any remainder, hence we can say factors of 252 is 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252.

Also note that, in exponential form prime factorization of 252 is written as 22 × 32 × 71 and it is a composite number.

#### Prime Factorization Calculator

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